Calculation of relative maxima and minima of a function f (x) in a range [a, b]:
We find the first derivative and calculate its roots.
We make the second derivative, and calculate the sign taken in it by the roots of the first derivative, and if:
f '' (a) <0 is a relative maximum
f '' (a)> 0 is a relative minimum
Identify intervals on which the function is increasing, decreasing, or constant. G (x) = 1- (x-7) ^ 2
First derivative
G '(x) = - 2 (x-7)
-2 (x-7) = 0
x = 7
Second derivative
G '' (x) = - 2
G '' (7) = - 2 <0 is a relative maximum
answer:
the function is increasing at (-inf, 7)
the function is decreasing at [7, inf)
B) -4 To be honest i just used a collage calculator for this question
Answer:
original is 500 and the resale is 750, do 750/500 to get a 1.5, that is the marup when changed to percentage it would be a 50% markup
Answer:
8 teachers and 52 students attended the Miami Metro Zoo
Step-by-step explanation:
x+y=60
11.5x+6.75y=443
11.5(60-y)+6.75y=443
690-11.5y+6.75y=443
-4.75y=-247
y=52
x+(52)=60
x=8
CHECK:
11.5(8)+6.75(52)=443
(8)+(52)=60
-68x + p = qx + 34
p - 34 = qx + 68x <em>added 68x to both sides & subtracted 34 from both sides.</em>
p - 34 = x(q + 68)
The denominator cannot be equal to zero so q + 68 ≠ 0 ⇒ q ≠ -68
You didn't upload the options but look for the one that has q = -68.